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सिद्ध कीजिए कि \(\frac{1}{3-\sqrt8}-\frac1{\sqrt8-\sqrt7}+\frac1{\sqrt7-\sqrt6}\)\(-\frac1{√6 - √5}+\frac1{√5 - 2}\) = 5

1/(3 - √8) - 1/(√8 - √7) + 1/(√7 - √6) - 1/(√6 - √5) + 1/(√5 - 2) 

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L.H.S. = 3 + √8 - √8 - √7 + √7 + √6 - √6 - √5 - √5 + 2 

= 5 R.H.S.

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